7 citations · 7 across the 3 of their papers we have counts for
4 papers
An abstract lagrangian framework for computing shape derivatives
Antoine Laurain, Pedro T. P. Lopes, Jean C. Nakasato
In this paper we study an abstract framework for computing shape derivatives of functionals subject to PDE constraints. We revisit the Lagrangian approach using the implicit functi…
Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities
Antoine Laurain, Malte Winckler, Irwin Yousept
This paper is devoted to the theoretical and numerical study of an optimal design problem in high-temperature superconductivity (HTS). The shape optimization problem is to find an…
A level set-based structural optimization code using FEniCS
Laurain Antoine
This paper presents an educational code written using FEniCS, based on the level set method, to perform compliance minimization in structural optimization. We use the concept of di…
On a Bernoulli problem with geometric constraints
Antoine Laurain, Yannick Privat
A Bernoulli free boundary problem with geometrical constraints is studied. The domain $\Om$ is constrained to lie in the half space determined by and its boundary to co…